The Flamant solution provides expressions for the stresses and displacements in a linear elastic wedge loaded by point forces at its sharp end. This solution was developed by A. Flamant in 1892 by modifying the three-dimensional solution of Boussinesq.
The stresses predicted by the Flamant solution are (in polar coordinates)
where are constants that are determined from the boundary conditions and the geometry of the wedge (i.e., the angles ) and satisfy
where are the applied forces.
The wedge problem is self-similar and has no inherent length scale. Also, all quantities can be expressed in the separated-variable form . The stresses vary as .
Read more about Flamant Solution: Forces Acting On A Half-plane, Derivation of Flamant Solution
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